Question

A capacitance of $2\mu F$ is required in an electrical circuit across a potential difference of $1.0kV$. A large number of $1\mu F$ capacitors are available which can withstand a potential difference of not more than $300V$. The minimum number of capacitors required to achieve this is

• A. $32$
• B. $2$
• C. $16$
• D. $24$

Answer 1

The correct option is A $32$

To hold $1kV$ potential difference minimum four capacitors are required in series $\Rightarrow C=1/4$(for 4 capacitors).

For overall capacitance of $2\mu F$, $8$ such branches are needed.
Or, equivalent is $C_{eq}=8\times 0.25=2\mu F$

Total capacitors required = $8\times 4=32$